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Simplifying (12 + 9i) + (-5 + 5i) = 0 Remove parenthesis around (12 + 9i) 12 + 9i + (-5 + 5i) = 0 Remove parenthesis around (-5 + 5i) 12 + 9i + -5 + 5i = 0 Reorder the terms: 12 + -5 + 9i + 5i = 0 Combine like terms: 12 + -5 = 7 7 + 9i + 5i = 0 Combine like terms: 9i + 5i = 14i 7 + 14i = 0 Solving 7 + 14i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 14i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 14i = 0 + -7 14i = 0 + -7 Combine like terms: 0 + -7 = -7 14i = -7 Divide each side by '14'. i = -0.5 Simplifying i = -0.5
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